Search a number
-
+
869288056 = 237134632579
BaseRepresentation
bin110011110100000…
…100100001111000
32020120201102000221
4303310010201320
53240014204211
6222131505424
730353553340
oct6364044170
92216642027
10869288056
11406765a8a
12203158274
1310b132640
1483643d20
15514b1c71
hex33d04878

869288056 has 64 divisors (see below), whose sum is σ = 2011161600. Its totient is φ = 343018368.

The previous prime is 869288053. The next prime is 869288087. The reversal of 869288056 is 650882968.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 869287994 and 869288012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869288053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335775 + ... + 338353.

It is an arithmetic number, because the mean of its divisors is an integer number (31424400).

Almost surely, 2869288056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869288056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005580800).

869288056 is an abundant number, since it is smaller than the sum of its proper divisors (1141873544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

869288056 is a wasteful number, since it uses less digits than its factorization.

869288056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 869288056 is about 29483.6913564092. The cubic root of 869288056 is about 954.3797974152.

The spelling of 869288056 in words is "eight hundred sixty-nine million, two hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 463 728 926 1852 2579 3241 3704 5158 6019 6482 10316 12038 12964 18053 20632 24076 25928 33527 36106 42133 48152 67054 72212 84266 134108 144424 168532 234689 268216 337064 469378 938756 1194077 1877512 2388154 4776308 8358539 9552616 15523001 16717078 31046002 33434156 62092004 66868312 108661007 124184008 217322014 434644028 869288056